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Chapter 1 The Solution o Chapter 1 The Solution o f Nonlinear Equations f Nonlinear Equations f f (x)=0 (x)=0 1.1 Iteration for Solving 1.1 Iteration for Solving x= x= g(x) g(x)

Chapter 1 The Solution of Nonlinear Equations f(x)=0

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Chapter 1 The Solution of Nonlinear Equations f(x)=0. 1.1 Iteration for Solving x=g(x). 1.1.1 Finding Fixed Points. 1.1.2 Graphical Interpretation of Fixed-point Iteration. 1.1.3 Absolute and Relative Error Considerations. - PowerPoint PPT Presentation

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Page 1: Chapter 1 The Solution of Nonlinear Equations  f(x)=0

Chapter 1 The Solution of NonlChapter 1 The Solution of Nonlinear Equations inear Equations f(x)=0f(x)=0

1.1 Iteration for Solving 1.1 Iteration for Solving x=g(x)x=g(x)

Page 2: Chapter 1 The Solution of Nonlinear Equations  f(x)=0
Page 3: Chapter 1 The Solution of Nonlinear Equations  f(x)=0
Page 4: Chapter 1 The Solution of Nonlinear Equations  f(x)=0

1.1.1 Finding Fixed Points

Page 5: Chapter 1 The Solution of Nonlinear Equations  f(x)=0
Page 6: Chapter 1 The Solution of Nonlinear Equations  f(x)=0
Page 7: Chapter 1 The Solution of Nonlinear Equations  f(x)=0
Page 8: Chapter 1 The Solution of Nonlinear Equations  f(x)=0
Page 9: Chapter 1 The Solution of Nonlinear Equations  f(x)=0
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Page 11: Chapter 1 The Solution of Nonlinear Equations  f(x)=0

1.1.2 Graphical Interpretation of Fixed-point Iteration

Page 12: Chapter 1 The Solution of Nonlinear Equations  f(x)=0
Page 13: Chapter 1 The Solution of Nonlinear Equations  f(x)=0

1.1.3 Absolute and Relative Error 1.1.3 Absolute and Relative Error ConsiderationsConsiderations